Answer:
$20.15
Step-by-step explanation:
Given data
Original cost = $9.57
Markup= 95%
Let us find the new cost of the basket
=95/100*9.57
=0.95*9.57
=$9.0915
Hence the cost of the basket is
= 9.57+9.0915
=18.66
Also, the sales tax is 8%
=8/100*18.66
=0.08*18.66
=1.4928
Therefore, the total amount to be paid is
=18.66+1.4928
=$20.15
Answer:
14x^-10x+12+2=-140x+14
Step-by-step explanation:
Very simple. Just add/multiply the like terms, (14x^-10x & 12+2), and then you'll get the answer, but since 140x and 14 are not like terms, the answer stays as 140x+14.
Answer:

Step-by-step explanation:
We need to note that this is an equation, in which we can solve for x.

We can use a calculator to find the tangent of 39 - we type 39 into the calculator then press the "TAN" button to find it's tangent. We find that to be around 0.81.
We now have the formula simplified down to
. To solve for x, we want to isolate it on one side, so we can multiply both sides by 68 to get rid of the fraction.
We know have 
, so x is approximately 55.
Hope this helped!
Answer:
71.123 mph ≤ μ ≤ 77.277 mph
Step-by-step explanation:
Taking into account that the speed of all cars traveling on this highway have a normal distribution and we can only know the mean and the standard deviation of the sample, the confidence interval for the mean is calculated as:
≤ μ ≤ 
Where m is the mean of the sample, s is the standard deviation of the sample, n is the size of the sample, μ is the mean speed of all cars, and
is the number for t-student distribution where a/2 is the amount of area in one tail and n-1 are the degrees of freedom.
the mean and the standard deviation of the sample are equal to 74.2 and 5.3083 respectively, the size of the sample is 10, the distribution t- student has 9 degrees of freedom and the value of a is 10%.
So, if we replace m by 74.2, s by 5.3083, n by 10 and
by 1.8331, we get that the 90% confidence interval for the mean speed is:
≤ μ ≤ 
74.2 - 3.077 ≤ μ ≤ 74.2 + 3.077
71.123 ≤ μ ≤ 77.277
since all sides are equal, which means all angles must also be equal to one another
all angles =60°
solving 7x-3=60
7x=63
x=9
similarly 11 y+5=60
11y=55
y=5